# What are the 3 triangle similarity shortcuts?

## What are the 3 triangle similarity shortcuts?

There are 3 similarity shortcuts – ways you can tell triangles are similar. If two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar. If the three sides of one triangle are proportional to the three sides of another triangle. Then the two triangles are similar.

What are the 5 triangle similarity theorems?

Triangle Similarity Theorems

• Proportional Segment Theorem.
• Proportional Transversal Theorem.
• Corresponding Medians.
• Ray Bisecting a Triangle Creating Proportional Sides.
• Perimeter of Similar Polygons.

How are similar triangles used in real life?

Similar Triangles are very useful for indirectly determining the sizes of items which are difficult to measure by hand. Typical examples include building heights, tree heights, and tower heights. Similar Triangles can also be used to measure how wide a river or lake is.

### How do you create a similarity statement?

Writing Similarity Statements to Match Similar Sides and Angles: Vocabulary. Similar Triangles: Two triangles are called similar triangles if corresponding angles are congruent, and the ratios of corresponding sides are constant. Congruent Angles: Two angles are called congruent if they have the exact same measure.

What are the 4 triangle similarity shortcuts?

There are four triangle congruence shortcuts: SSS, SAS, ASA, and AAS. We have triangle similarity if (1) two pairs of angles are congruent (AA) (2) two pairs of sides are proportional and the included angles are congruent (SAS), or (3) if three pairs of sides are proportional (SSS).

What are the 3 similarity statements?

There are three triangle similarity theorems that specify under which conditions triangles are similar: If two of the angles are the same, the third angle is the same and the triangles are similar. If the three sides are in the same proportions, the triangles are similar.